Burns and Cunninghams

I am a g.g.granddaughter of Robert Cunningham who came with his family from Scotland in the 1860's. I want to find his parents and his grandparents and I am tired of these slippery rascals always hiding in my four year search. I am calling out for my cousins to help me and I know you are as stubborn as myself if you are related so help me dig out these rascals. I have found the, "abouts and the whatifs" I want real dates and facts and Robert Cunningham is in trouble with me over that! I am looking for Peter Cunningham and his wife, Sarah Burns who both lived in Northern Ireland. Peter's parents are JamesCunningham and his mother was, Rosannah Burns. Sarah's parents were: Thomas and Jane Burns. Come on cousin's I do not want the past to beat us! Many thanks, Deb.